Answer:
$230
Step-by-step explanation:
Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7
Step-by-step explanation:
We need to find the average rate if change in the function f(x) = x^2 +2 over the interval x= -5 to x= -2
The formula used to find the change of average rate is:

Where b= -2 and a= -5
Finding f(b) and f(a)
f(b)=f(-2)=(-2)^2+2=4+2=6
f(a)=f(-5)=(-5)^2+2=25+2=27
Putting values in the formula:

Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7
Keywords: Average Rate of change
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Assume that the spring behaves linearly so that
y = a + bx
where
x = weight of the mass
y = stretch of the spring
a,b are constants
When x = 70 g, y = 22 cm, therefore
a + 70b = 22 (1)
When x = 105g, y = 27 cm, therefore
a + 105b = 27 (2)
Subtract (1) from (2).
a + 105b - (a + 70b) = 27 - 22
35b = 5
b = 0.1429
From (1), obtain
a = 22 - 70*0.1429 = 12
Answer:
The required equation is
y = 12 + 0.1429x
Answer:
The answer is 25 feet. Just multiply 10 by 2.5